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Finding the Fourth Proportional to 15,684,193,846.80, 22,012,971,188.40 and 15,684,193,846.80

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Solution

The fourth proportional to 15,684,193,846.80, 22,012,971,188.40 and 15,684,193,846.80 is: 22,012,971,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684,193,846.80 : 22,012,971,188.40 = 15,684,193,846.80 : x
  2. Step 2: Convert to fraction form
    15,684,193,846.80/22,012,971,188.40 = 15,684,193,846.80/x
  3. Step 3: Cross multiply
    15,684,193,846.80x = 22,012,971,188.40 × 15,684,193,846.80
  4. Step 4: Simplify right side
    15,684,193,846.80x = 345,255,707,262,888,968,192
  5. Step 5: Solve for x
    x = 345,255,707,262,888,968,192/15,684,193,846.80
  6. Step 6: Final answer
    x = 22,012,971,188.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.